GPS/LEO掩星技术中Abel积分变换的奇点问题  

On the Singular Point of Abel Integral Transformation in GPS/LEO Occultation Technique

作　　者：郭鹏[1] 严豪健[1] 刘敏[1] 黄珹[1] 洪振杰[2] 

机构地区：[1]中国科学院上海天文台,上海200030 [2]温州师范学院数学系,温州325000

出　　处：《天文学报》2004年第3期330-337,共8页Acta Astronomica Sinica

基　　金：CXJJ-97;国家自然科学基金(10073017);中国科学院知识创新工程重要方向项目(KJCX2-SW-T1)资助

摘　　要：在GPS/LEO无线电掩星反演地球大气技术中, Abel积分是反演地球大气折射指数的最常用的方法. Abel积分存在积分奇点的问题,根据这一问题讨论了解决奇异积分的几种不同的积分方法,并提出了一种直接求Abel积分变换的解析解.通过数值积分模拟计算,对比了各种不同积分方法引入了的计算误差.Abel integral transformation is one of the nost widely used methods to retrieve atmospheric refractive index in GPS/LEO radio occul ation technique probing the Earth's atmosphere. A new direct analytical approach is proposed in this paper to Abel integral transformation, thus the singular point of integral is avoided, and computation process is simplified. By numerical simulations of occultation eve: its, it is proved that the new method not only has a simple mathematical expression and the minimum computer time consuming, but also a lower computation error.

关 键 词：掩星技术 反演 地球大气 折射指数 ABEL积分 

分 类 号：P138[天文地球—天体力学]